Pseudo-Riemannian manifold of mixmaster dynamical systems

Physics

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Scientific paper

The local instability of mixmaster dynamical systems and their generalization to higher dimensions is discussed. The mixmaster Hamiltonian dynamical system is reduced to a geodesic flow on the pseudo-Riemannian space. The geometric structure of the mixmaster dynamical system manifold is investigated in connection with the chaotic beha viour in mixmaster world models.

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